2212012012320 has 288 divisors, whose sum is σ = 8243524021824. Its totient is φ = 535671859200.

The previous prime is 2212012012313. The next prime is 2212012012349. The reversal of 2212012012320 is 232102102122.

2212012012320 is a `hidden beast` number, since 2 + 212 + 0 + 120 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212012012293 and 2212012012302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14831239 + ... + 14979641.

It is an arithmetic number, because the mean of its divisors is an integer number (28623347298).

Almost surely, 2^{2212012012320} is an apocalyptic number.

2212012012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212012012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121762010912).

2212012012320 is an abundant number, since it is smaller than the sum of its proper divisors (6031512009504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2212012012320 is a wasteful number, since it uses less digits than its factorization.

2212012012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149376 (or 149365 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2212012012320 its reverse (232102102122), we get a palindrome (2444114114442).

The spelling of 2212012012320 in words is "two trillion, two hundred twelve billion, twelve million, twelve thousand, three hundred twenty".